Question

If AB and CD intersect at O such that all the angles formed at O are equal , what shall be the measure of each angle?

Answer 1

Solution:-

Two lines AB and CD intersect each other at O

∠AOC=68°

(i) AOB is a line

∠AOC+∠BOC=180°

68° +a=112°

a= 180° - 68° = 112°

(ii)∠AOC and ∠BOD and ∠BOC and AOD are the two pairs of vertically opposite angles.

(iii) ∠AOC and ∠BOD; ∠BOC and ∠BOD; ∠BOD and ∠DOA are pairs of adjacent angles